All categories

1 year ago

Squared root 50 x squared root 8 surds

Mathematics

1 answer:

frez [133]1 year ago

6 0

Answer:

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ = $\sqrt{ab}$ , then

$\sqrt{50}$ × $\sqrt{8}$

= $\sqrt{50(8)}$

= $\sqrt{400}$

= 20

You might be interested in

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

olasank [31]

Answer:

x=18 y=69

Step-by-step explanation:

3x+5y=399

x+5y=363

2x=36

x=18

18+5y=363

5y=345

y=69

5 0

3 years ago

What is the first step in solving the equation by factoring?

Art [367]

The answer is D. This is because all of the variables must be on one side so it can be factored.

8 0

4 years ago

PLEASE HELLPPP**attachments provided

Luden [163]

Answer:

A. 2x(x+1)(x-6); 0, -1, 6

Step-by-step explanation:

The zeros are the values of x that make the factors zero. That is, for binomial factors, they are the opposite of the constant in the binomial factor. For example, the factor (x+1) will be zero when x = -1, so that -1+1 = 0.

This observation eliminates choices B and C.

The product of binomial factors looks like this:

(x +a)(x +b) = x² +(a+b)x +ab . . . . . x-coefficient is (a+b)

Once 2x is factored from the given polynomial, the resulting quadratic is ...

x^2 -5x -6

This means the sum of the constants in the binomial terms must be -5. That will only be the case for choice A.

3 0

2 years ago

Suppose the high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 10 feet above the height of the lo

Lunna [17]

Answer:

The low tide, when it is 10 feet below the high tide would be at 7am and 7pm

Step-by-step explanation:

8 0

3 years ago